Homogenization of the wave equation in composites with imperfect interface: a memory effect

• Autores: Patrizia Donato, Luisa Faella, Sara Monsurrò
• Localización: Journal des mathématiques pures et appliqués, ISSN 0021-7824, Vol. 87, Nº. 2, 2007, págs. 119-143
• Idioma: inglés
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• Resumen

  • In this paper we study the asymptotic behaviour of the wave equation with rapidly oscillating coefficients in a two-component composite with e-periodic imperfect inclusions. We prescribe on the interface between the two components a jump of the solution proportional to the conormal derivatives through a function of order . For the different values of ?, we obtain different limit problems. In particular, for we have a linear memory effect in the homogenized problem.